"I'm sorry to hear that" = sympathy
"It sounds like you're exhausted by that." = empathy
Notice the noun in those sentences: first one is you, second one is them.
What matters is what we say after those, too. There's a big difference between, "It sounds like you're exhausted that. [Solution proposal]" and "It sounds like you're exhausted by that. [Pause, wait for them to expound]"
Proposing solutions can have a role, and is a form of caring. But only if we get permission for it first, and do so in a rubber-duck way (ex "what have you already tried to fix that?")
Really glad you brought up this point too. It comes off as extremely condescending if you don’t fully give someone space to express themselves. Simple follow up questions can be useful to help them develop their thoughts further, but firing back a solution instantly against something they may have put a great deal of thought into isn’t the right thing to do.
Because the 2nd one sets a totally different tone which might be seen as you wanting to stop talking about them and now it's your turn to guide the conversation and make it about you. It's also making a pretty big assumption about them being exhausted in which case you might drop the "too" to get rid of that assumption but you're still trying to sound like you're shifting things to be about you instead of them.
I give that example because it is common for people to bond via complaining about stuff (like their bosses), which I think is a bad habit that leads to negative outcomes.
And why are the people who just want to hear "I'm sorry" in the right, and not the people who want to find solutions? Why do the people who don't want solutions get to make the rules?
it's a set of tools, not a set of moral imperatives. worrying about which conversation style is "correct" is not a practical way to approach social interactions.
unless the person is a close friend or their behavior is harming you somehow, just keep the negative feedback to yourself. just tell them your best guess at what they want to hear and move on.
For example something like "you clearly feel unappreciated, but I don't care so stop telling me about it" is empathetic. This leaves me wondering why exactly there is such an obviously submarined push for empathy in the software industry. Is the idea to get unsympathetic persons to learn enough empathy to convincingly feign sympathy? If so, what outcome is that dishonesty meant to achieve?
[1] https://www.merriam-webster.com/words-at-play/sympathy-empat...
I think I solutionize cause I care or maybe I just like problem solving. Though coming up with an answer instantly belittles their problem.